International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2010). Vol. B, ch. 2.5, p. 318   | 1 | 2 |

Table 2.5.3.5 

M. Tanakaf

Table 2.5.3.5| top | pdf |
Symmetries of hexagonal six-beam CBED patterns for diffraction groups

 Projection diffraction group
31R3m1R61R
Diffraction group 3 31R 3mR 3m 3m1R 6 6R 61R
Two-dimensional symmetry 3 3 3 3m 3m 6 3 6
Three-dimensional symmetry   m 2′   m′, (2′)   i m′, (i)
Zone-axis pattern Bright-field pattern 3 6 3m 3m 6mm 6 3 6
Whole-field pattern 3 3 3 3m 3m 6 3 6
Hexagonal six-beam pattern O 1 1 1 m2 1 mv m2 mv 1 1 1
G 1 1R m2 1 1 mv 1R 1Rmv(m2) 1 1 1R
F 1 1 m2 1 1 1 1 m2 1 1 1
S 1 1 1 m2 1 1 m2 1 1 1 1
FF 1 3R 1 1 1 mv 3R 3Rmv 1 1 3R
SS 1 1 1 1 1 mv 1 mv 1 6R 6R
A pair of symmetrical six-beam patterns [Scheme scheme13] ±O 1 1R m2 1 mv 1 mv1R 1Rm2 2 1 2(1R)
±G 1 1 1 mR mv 1 mvmR 1 2 2R 21R
±F 1 1 1 1 mv 1 mv 1 1 6R 6R
±S 1 3R 1 1 mv 1 3Rmv 3R 1 1 3R
[F'\bar F] 1 1 1 mR 1 1 mR 1 2 1 2
[S'\bar S] 1 1 mR 1 1 1 1 mR 2 1 2
Point group 23, 3 [\bar 6] 432, 32 [\bar 43m], 3m [\bar 6m2] 6 m3, 3 6/m

 Projection diffraction group
6mm1R
Diffraction group 6mRmR 6mm 6RmmR 6mm1R
Two-dimensional symmetry 6 6mm 3m 6mm
Three-dimensional symmetry 2′   i, (2′) m′, (i, 2′)
Zone-axis pattern Bright-field pattern 6mm 6mm 3m 6mm
Whole-field pattern 6 6mm 3m 6mm
Hexagonal six-beam pattern O m2 mv 1 mv(m2) mv(m2)
G m2 mv m2 mv 1Rmv(m2)
F m2 1 m2 1 m2
S m2 1 1 m2 m2
FF 1 mv 1 mv 3Rmv
SS 1 mv 6R 6Rmv 6Rmv
A pair of symmetrical six-beam patterns [Scheme scheme113] ±O 2m2 2mv′ mv(m2) 1 2(1R)mv(m2)
±G 2mR 2mv′ 2Rmv 2RmR 21Rmv′(mR)
±F 1 mv 6Rmv 6R 6Rmv′
±S 1 mv′ mv 1 3Rmv′
[F'\bar F] 2mR 2 1 mR 2mR
[S'\bar S] 2mR 2 mR 1 2mR
Point group 622 6mm m3m, [\bar 3 m] 6/mmm